New possibilities of verifying analyticity
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 137-140
Yu. S. Vernov; O. V. Dumbrais; T. Yu. Dumbrais; M. N. Mnatsakanova. New possibilities of verifying analyticity. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 137-140. http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a11/
@article{TMF_1976_26_1_a11,
     author = {Yu. S. Vernov and O. V. Dumbrais and T. Yu. Dumbrais and M. N. Mnatsakanova},
     title = {New possibilities of verifying analyticity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {137--140},
     year = {1976},
     volume = {26},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a11/}
}
TY  - JOUR
AU  - Yu. S. Vernov
AU  - O. V. Dumbrais
AU  - T. Yu. Dumbrais
AU  - M. N. Mnatsakanova
TI  - New possibilities of verifying analyticity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 137
EP  - 140
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a11/
LA  - ru
ID  - TMF_1976_26_1_a11
ER  - 
%0 Journal Article
%A Yu. S. Vernov
%A O. V. Dumbrais
%A T. Yu. Dumbrais
%A M. N. Mnatsakanova
%T New possibilities of verifying analyticity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 137-140
%V 26
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a11/
%G ru
%F TMF_1976_26_1_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that if dispersion relations hold for the scattering amplitude then, without any additional assumptions, dispersion relations can also be proved for its logarithm. A new way of verifying analyticity is proposed.

[1] N. N. Bogolyubov, B. V. Medvedev, M. K. Polivanov, Voprosy teorii dispersionnykh sootnoshenii, Fizmatgiz, 1958 | MR

[2] G. Höhler, R. Straus, Preprint, University of Karlsruhe, 1971 | MR

[3] M. Sugawara, A. Tubis, Phys. Rev., 130 (1963), 2127 | DOI | MR | Zbl

[4] Y. S. Jin, S. W. Mcdowell, Phys. Rev., 138B (1965), 1279 | DOI

[5] R. Odorico, Nuovo Cim., 54A (1968), 96 | DOI

[6] J. A. McClure, L. E. Pitts, Phys. Rev., D5 (1972), 109 | MR

[7] R. Wit, Acta Phys. Polon., 28 (1965), 865 | MR

[8] Yu. S. Vernov, TMF, 4 (1970), 3 | MR

[9] Yu. S. Vernov, M. N. Mnatsakanova, TMF, 10 (1972), 33

[10] Yu. S. Vernov, Lektsiya na Mezhdunarodnoi shkole molodykh uchenykh po fizike vysokikh energii, Sochi, 1974

[11] V. Z. Baluni, Yu. S. Vernov, O. V. Dumbrais, M. N. Mnatsakanova, TMF, 13 (1972), 362